When is matrix multiplication commutative

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Mathematica » The 1 tool for creating Demonstrations and anything technical. Contact the MathWorld Team. Matrix Multiplication. Matrix Addition and Subtraction. Recall how each entry in the matrix product is determined. When matrices A and B are multiplied into matrix AB , each entry in the new matrix is formed from the entries in the old matrix.

Since these expressions may very well not be equal according to our work thus far, we can safely conclude that matrix multiplication is not necessarily commutative. Is matrix multiplication commutative? Dec 11, Related questions How do I determine the molecular shape of a molecule?

Learn more. When is matrix multiplication commutative? Ask Question. Asked 9 years, 4 months ago. Active 3 months ago. Viewed k times. Martin Thoma Martin Thoma 9, 14 14 gold badges 54 54 silver badges bronze badges.

If you post it as an answer, I'll accept it. Show 5 more comments. Active Oldest Votes. Community Bot 1. Johannes Kloos Johannes Kloos 8, 3 3 gold badges 25 25 silver badges 45 45 bronze badges. I can't think of a counter-example right know, though. Add a comment. Tanner 1.

Dirk Dirk Marc van Leeuwen Marc van Leeuwen k 6 6 gold badges silver badges bronze badges. Karthik C Karthik C 2, 14 14 silver badges 26 26 bronze badges. Rooscannon Rooscannon 49 2 2 bronze badges. JohnHalleck JohnHalleck 84 6 6 bronze badges. The inverse can be regarded as a special case of polynomial as always we can express inverse as a polynomial.